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Finding the Fourth Proportional to 109,896.10, 164,871.15 and 31,009.30

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Solution

The fourth proportional to 109,896.10, 164,871.15 and 31,009.30 is: 46,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.10 : 164,871.15 = 31,009.30 : x
  2. Step 2: Convert to fraction form
    109,896.10/164,871.15 = 31,009.30/x
  3. Step 3: Cross multiply
    109,896.10x = 164,871.15 × 31,009.30
  4. Step 4: Simplify right side
    109,896.10x = 5,112,538,951.70
  5. Step 5: Solve for x
    x = 5,112,538,951.70/109,896.10
  6. Step 6: Final answer
    x = 46,521.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.